Chapter 3.3, Problem 15ES

The form of the partial fraction decomposition of a rational function is given below. {[3x^2+3x+12)]/[(x−5)(x^2+9)]} =A/(x−5) + (Bx+C)/(x^2+9)   A= B= C= Now evaluate the indefinite integral: ∫[3x^2+3x+12)]/[(x−5)(x^2+9)

The partial decomposition has the form: x^6+5x^5+16x^4+80x^3-2x^2+6x-43/x^3+5x^2+16x+80 = f(x)+g(x)/x^2+16 +h(x)/x+5 find f(x), g(x), h(x) f(x)= g(x)= h(x)=

Determine the laplace inverse of the problem by using partial fraction decomposition and follow the steps provided.

homogenous linear de with constant coefficients

f(x) = (x2-x-1) e-x is restricted to the domain x ≥ 0  and it has two critical points.  One at x = 0 and the other at x = 3 At what value x does f(x) attain its maximum?

Find the critical numbers of the function.  p(x)= x2 + 2 2x − 1

Find the value of x for which the function f(x) = 3x^4 - 8x^3 + 6x^2 + 2x + 1 has a critical point.